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Chapter 38: Problem 20
Compare the radius of the proton (the \(A=1\) nucleus) with the Bohr radius of the hydrogen atom.
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Carbon- 11 -labeled acetate shows promise in \(\mathrm{PET}\) scans for determining the extent of metastasized prostate cancer. (a) Given C-11's 20.4-min half-life, how long will it take an initial dose of \(2.0 \mathrm{GBq}\) to decay to \(7.0 \mathrm{kBq}\) (roughly the natural radioactivity of the human body)? (b) What nucleus remains after \(C\) -1 1 decays by positron emission?
Why are fission fragments necessarily radioactive?
Nitrogen-13 is a 9.97-min-half-life isotope used to "tag" ammonia for PET scans, including quantification of myocardial infarction. Consider an intravenous injection incorporating \(20.0 \mathrm{mCi}\) of N-13. Plot a graph of \(\mathrm{N}-13\) activity versus time, with your vertical axis logarithmic and your horizontal axis linear. Why is the graph a straight line? What's the significance of its slope?
At the Oklo site today, you would expect to find measurable amounts of a. strontium- 90 b. cesium-137. c. plutonium- 239 d. none of the above.
A family member is about to have a brain scan using technetium-99m, an excited isotope with 6.01 -hour half-life. The hospital makes Tc-99m from the decay of molybdenum-99 \(\left(t_{1 / 2}=2.7 \text { days }\right),\) then delivers it to the nuclear medicine department. You're told that the Tc-99m will arrive 90 minutes after production, and that there must be 10 mg of it. The technician says she will produce 12 mg of \(\mathrm{Te}-99 \mathrm{m}\). Is that sufficient?
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